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5855133408 = 253298325339
BaseRepresentation
bin1010111001111111…
…00011111011100000
3120010001110121001220
411130333203323200
543442403232113
62404555455040
7265044545535
oct53477437340
916101417056
105855133408
112535085433
121174a57480
137240765a7
143d789cd8c
1524406e523
hex15cfe3ee0

5855133408 has 96 divisors (see below), whose sum is σ = 16091913600. Its totient is φ = 1861633536.

The previous prime is 5855133397. The next prime is 5855133409. The reversal of 5855133408 is 8043315585.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5855133408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5855133409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218403 + ... + 243741.

It is an arithmetic number, because the mean of its divisors is an integer number (167624100).

Almost surely, 25855133408 is an apocalyptic number.

5855133408 is a gapful number since it is divisible by the number (58) 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 5855133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045956800).

5855133408 is an abundant number, since it is smaller than the sum of its proper divisors (10236780192).

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

5855133408 is a wasteful number, since it uses less digits than its factorization.

5855133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25464 (or 25456 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5855133408 is about 76518.8434831578. The cubic root of 5855133408 is about 1802.3768403266.

The spelling of 5855133408 in words is "five billion, eight hundred fifty-five million, one hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 166 174 232 249 332 348 464 498 664 696 928 996 1328 1392 1992 2407 2656 2784 3984 4814 7221 7968 9628 14442 19256 25339 28884 38512 50678 57768 76017 77024 101356 115536 152034 202712 231072 304068 405424 608136 734831 810848 1216272 1469662 2103137 2204493 2432544 2939324 4206274 4408986 5878648 6309411 8412548 8817972 11757296 12618822 16825096 17635944 23514592 25237644 33650192 35271888 50475288 60990973 67300384 70543776 100950576 121981946 182972919 201901152 243963892 365945838 487927784 731891676 975855568 1463783352 1951711136 2927566704 5855133408