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5487390272 = 267131914933
BaseRepresentation
bin1010001110001001…
…01110111001000000
3112011102111022022202
411013010232321000
542214232442042
62304301452332
7252661022240
oct50704567100
915142438282
105487390272
112366541591
1210918710a8
13695b1a2c0
143a0ad3b20
15221b2d632
hex14712ee40

5487390272 has 112 divisors (see below), whose sum is σ = 13474793472. Its totient is φ = 2159032320.

The previous prime is 5487390269. The next prime is 5487390289. The reversal of 5487390272 is 2720937845.

It is a happy number.

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

It is a super-2 number, since 2×54873902722 = 60222903994480467968, which contains 22 as substring.

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, 1109918 + ... + 1114850.

It is an arithmetic number, because the mean of its divisors is an integer number (120310656).

Almost surely, 25487390272 is an apocalyptic number.

5487390272 is a gapful number since it is divisible by the number (52) 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 5487390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737396736).

5487390272 is an abundant number, since it is smaller than the sum of its proper divisors (7987403200).

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

5487390272 is a wasteful number, since it uses less digits than its factorization.

5487390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 5487390272 is about 74076.9213183161. The cubic root of 5487390272 is about 1763.8241435268.

The spelling of 5487390272 in words is "five billion, four hundred eighty-seven million, three hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 191 208 224 364 382 416 448 728 764 832 1337 1456 1528 2483 2674 2912 3056 4933 4966 5348 5824 6112 9866 9932 10696 12224 17381 19732 19864 21392 34531 34762 39464 39728 42784 64129 69062 69524 78928 79456 85568 128258 138124 139048 157856 158912 256516 276248 278096 315712 448903 513032 552496 556192 897806 942203 1026064 1104992 1112384 1795612 1884406 2052128 2209984 3591224 3768812 4104256 6595421 7182448 7537624 12248639 13190842 14364896 15075248 24497278 26381684 28729792 30150496 48994556 52763368 60300992 85740473 97989112 105526736 171480946 195978224 211053472 342961892 391956448 422106944 685923784 783912896 1371847568 2743695136 5487390272