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2078377392 = 2437133115349
BaseRepresentation
bin111101111100001…
…1000010110110000
312100211211111210110
41323320120112300
513224031034032
6542122501320
7102334626210
oct17370302660
95324744713
102078377392
1197720a773
124a0064840
1327178a010
1415a05c240
15c26e57cc
hex7be185b0

2078377392 has 160 divisors (see below), whose sum is σ = 6821785600. Its totient is φ = 530426880.

The previous prime is 2078377373. The next prime is 2078377397. The reversal of 2078377392 is 2937738702.

2078377392 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2078377397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127734 + ... + 143082.

It is an arithmetic number, because the mean of its divisors is an integer number (42636160).

Almost surely, 22078377392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078377392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410892800).

2078377392 is an abundant number, since it is smaller than the sum of its proper divisors (4743408208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2078377392 is a wasteful number, since it uses less digits than its factorization.

2078377392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15411 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 2078377392 is about 45589.2245163262. The cubic root of 2078377392 is about 1276.1688406474.

The spelling of 2078377392 in words is "two billion, seventy-eight million, three hundred seventy-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 15349 16926 19344 22568 30698 33852 45136 46047 61396 67704 92094 107443 122792 135408 184188 199537 214886 245584 322329 368376 399074 429772 475819 598611 644658 736752 798148 859544 951638 1197222 1289316 1396759 1427457 1596296 1719088 1903276 2394444 2578632 2793518 2854914 3192592 3330733 3806552 4190277 4788888 5157264 5587036 5709828 6185647 6661466 7613104 8380554 9577776 9992199 11174072 11419656 12371294 13322932 16761108 18556941 19984398 22348144 22839312 24742588 26645864 33522216 37113882 39968796 43299529 49485176 53291728 67044432 74227764 79937592 86599058 98970352 129898587 148455528 159875184 173198116 259797174 296911056 346396232 519594348 692792464 1039188696 2078377392