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2041616592 = 243279197911
BaseRepresentation
bin111100110110000…
…1001100011010000
312021021122212110100
41321230021203100
513140123212332
6534330532400
7101410311651
oct17154114320
95237585410
102041616592
11958491844
1248b897100
13266c88972
1415520d528
15be38367c
hex79b098d0

2041616592 has 120 divisors (see below), whose sum is σ = 5821770240. Its totient is φ = 667779840.

The previous prime is 2041616579. The next prime is 2041616609. The reversal of 2041616592 is 2956161402.

2041616592 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 61 + 6 + 592 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240617 + ... + 2241527.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 22041616592 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 2041616592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910885120).

2041616592 is an abundant number, since it is smaller than the sum of its proper divisors (3780153648).

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

2041616592 is a wasteful number, since it uses less digits than its factorization.

2041616592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2041616592 is about 45184.2515927840. The cubic root of 2041616592 is about 1268.6000636167.

Adding to 2041616592 its reverse (2956161402), we get a palindrome (4997777994).

The spelling of 2041616592 in words is "two billion, forty-one million, six hundred sixteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 197 237 316 394 474 591 632 711 788 911 948 1182 1264 1422 1576 1773 1822 1896 2364 2733 2844 3152 3546 3644 3792 4728 5466 5688 7092 7288 8199 9456 10932 11376 14184 14576 15563 16398 21864 28368 31126 32796 43728 46689 62252 65592 71969 93378 124504 131184 140067 143938 179467 186756 215907 249008 280134 287876 358934 373512 431814 538401 560268 575752 647721 717868 747024 863628 1076802 1120536 1151504 1295442 1435736 1615203 1727256 2153604 2241072 2590884 2871472 3230406 3454512 4307208 5181768 6460812 8614416 10363536 12921624 14177893 25843248 28355786 42533679 56711572 85067358 113423144 127601037 170134716 226846288 255202074 340269432 510404148 680538864 1020808296 2041616592