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4074070392 = 2333711512341
BaseRepresentation
bin1111001011010101…
…0110000101111000
3101111221002012221000
43302311112011320
531320430223032
61512133245000
7202650012150
oct36265260570
911457065830
104074070392
111800785427
12958493760
134cc086b52
142a9115760
1518ca06e7c
hexf2d56178

4074070392 has 128 divisors (see below), whose sum is σ = 12950323200. Its totient is φ = 1162512000.

The previous prime is 4074070391. The next prime is 4074070433. The reversal of 4074070392 is 2930704704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074070391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739142 + ... + 1741482.

It is an arithmetic number, because the mean of its divisors is an integer number (101174400).

Almost surely, 24074070392 is an apocalyptic number.

4074070392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074070392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475161600).

4074070392 is an abundant number, since it is smaller than the sum of its proper divisors (8876252808).

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

4074070392 is a wasteful number, since it uses less digits than its factorization.

4074070392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4074070392 is about 63828.4450069089. The cubic root of 4074070392 is about 1597.1394711988.

The spelling of 4074070392 in words is "four billion, seventy-four million, seventy thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1151 1512 2302 2341 3453 4604 4682 6906 7023 8057 9208 9364 10359 13812 14046 16114 16387 18728 20718 21069 24171 27624 28092 31077 32228 32774 41436 42138 48342 49161 56184 62154 63207 64456 65548 72513 82872 84276 96684 98322 124308 126414 131096 145026 147483 168552 193368 196644 217539 248616 252828 290052 294966 393288 435078 442449 505656 580104 589932 870156 884898 1179864 1740312 1769796 2694491 3539592 5388982 8083473 10777964 16166946 18861437 21555928 24250419 32333892 37722874 48500838 56584311 64667784 72751257 75445748 97001676 113168622 145502514 150891496 169752933 194003352 226337244 291005028 339505866 452674488 509258799 582010056 679011732 1018517598 1358023464 2037035196 4074070392