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4372312256 = 261389137431
BaseRepresentation
bin1000001001001110…
…00011000011000000
3102021201021110211222
410010213003003000
532423302443011
62001505454212
7213231020024
oct40447030300
912251243758
104372312256
111944068a04
12a20341368
13548aba620
142d698c384
151a8cb9ddb
hex1049c30c0

4372312256 has 112 divisors (see below), whose sum is σ = 9539752320. Its totient is φ = 1976156160.

The previous prime is 4372312253. The next prime is 4372312289. The reversal of 4372312256 is 6522132734.

It is a super-2 number, since 2×43723122562 = 38234228927935619072, which contains 22 as substring.

Its product of digits (60480) is a multiple of the sum of its prime divisors (672).

It is not an unprimeable number, because it can be changed into a prime (4372312253) 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, 10144361 + ... + 10144791.

It is an arithmetic number, because the mean of its divisors is an integer number (85176360).

Almost surely, 24372312256 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 4372312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769876160).

4372312256 is an abundant number, since it is smaller than the sum of its proper divisors (5167440064).

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

4372312256 is a wasteful number, since it uses less digits than its factorization.

4372312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 4372312256 is about 66123.4622203042. The cubic root of 4372312256 is about 1635.1981611952.

The spelling of 4372312256 in words is "four billion, three hundred seventy-two million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 137 178 208 274 356 416 431 548 712 832 862 1096 1157 1424 1724 1781 2192 2314 2848 3448 3562 4384 4628 5603 5696 6896 7124 8768 9256 11206 12193 13792 14248 18512 22412 24386 27584 28496 37024 38359 44824 48772 56992 59047 74048 76718 89648 97544 113984 118094 153436 158509 179296 195088 236188 306872 317018 358592 390176 472376 498667 613744 634036 767611 780352 944752 997334 1227488 1268072 1535222 1889504 1994668 2454976 2536144 3070444 3779008 3989336 5072288 5255183 6140888 7978672 10144576 10510366 12281776 15957344 21020732 24563552 31914688 42041464 49127104 68317379 84082928 136634758 168165856 273269516 336331712 546539032 1093078064 2186156128 4372312256