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2053792377 = 3271331411973
BaseRepresentation
bin111101001101010…
…0110001001111001
312022010120110111100
41322122212021321
513201232324002
6535443522013
7101615642610
oct17232461171
95263513440
102053792377
1196434867a
12493989309
1326965c980
14156a9c877
15c048b11c
hex7a6a6279

2053792377 has 96 divisors (see below), whose sum is σ = 3862849536. Its totient is φ = 1022284800.

The previous prime is 2053792373. The next prime is 2053792379. The reversal of 2053792377 is 7732973502.

2053792377 is a `hidden beast` number, since 20 + 537 + 9 + 23 + 77 = 666.

It is not a de Polignac number, because 2053792377 - 22 = 2053792373 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2053792373) 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 95 ways as a sum of consecutive naturals, for example, 1039963 + ... + 1041935.

It is an arithmetic number, because the mean of its divisors is an integer number (40238016).

Almost surely, 22053792377 is an apocalyptic number.

It is an amenable number.

2053792377 is a deficient number, since it is larger than the sum of its proper divisors (1809057159).

2053792377 is a wasteful number, since it uses less digits than its factorization.

2053792377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 2053792377 is about 45318.7861377597. The cubic root of 2053792377 is about 1271.1169575037.

It can be divided in two parts, 2053 and 792377, that added together give a triangular number (794430 = T1260).

The spelling of 2053792377 in words is "two billion, fifty-three million, seven hundred ninety-two thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 13 21 31 39 41 63 91 93 117 123 217 273 279 287 369 403 533 651 819 861 1209 1271 1599 1953 1973 2583 2821 3627 3731 3813 4797 5919 8463 8897 11193 11439 13811 16523 17757 25389 25649 26691 33579 41433 49569 61163 76947 80073 80893 115661 124299 148707 179543 183489 230841 242679 346983 428141 538629 550467 566251 728037 795119 1040949 1051609 1284423 1615887 1698753 2385357 2507683 3154827 3853269 5096259 5565833 7156071 7361263 7523049 9464481 16697499 17553781 22083789 22569147 32599879 50092497 52661343 66251367 97799637 157984029 228199153 293398911 684597459 2053792377