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4256262080 = 26577326029
BaseRepresentation
bin1111110110110001…
…0110011111000000
3101222121220111221022
43331230112133000
532204100341310
61542202245012
7210321426230
oct37554263700
911877814838
104256262080
111894604774
129a94b6768
1352aa47495
142c53bdcc0
1519d9e4a55
hexfdb167c0

4256262080 has 112 divisors (see below), whose sum is σ = 11742237120. Its totient is φ = 1439244288.

The previous prime is 4256262061. The next prime is 4256262091. The reversal of 4256262080 is 802626524.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4256262080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150506 + ... + 176534.

Almost surely, 24256262080 is an apocalyptic number.

4256262080 is a gapful number since it is divisible by the number (40) 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 4256262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871118560).

4256262080 is an abundant number, since it is smaller than the sum of its proper divisors (7485975040).

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

4256262080 is a wasteful number, since it uses less digits than its factorization.

4256262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26126 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4256262080 is about 65240.0343347549. The cubic root of 4256262080 is about 1620.6010674125.

The spelling of 4256262080 in words is "four billion, two hundred fifty-six million, two hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 140 146 160 224 280 292 320 365 448 511 560 584 730 1022 1120 1168 1460 2044 2240 2336 2555 2920 4088 4672 5110 5840 8176 10220 11680 16352 20440 23360 26029 32704 40880 52058 81760 104116 130145 163520 182203 208232 260290 364406 416464 520580 728812 832928 911015 1041160 1457624 1665856 1822030 1900117 2082320 2915248 3644060 3800234 4164640 5830496 7288120 7600468 8329280 9500585 11660992 13300819 14576240 15200936 19001170 26601638 29152480 30401872 38002340 53203276 58304960 60803744 66504095 76004680 106406552 121607488 133008190 152009360 212813104 266016380 304018720 425626208 532032760 608037440 851252416 1064065520 2128131040 4256262080