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4979917152 = 25337823399
BaseRepresentation
bin1001010001101001…
…11000000101100000
3110212001121000002000
410220310320011200
540144324322102
62142052524000
7234256411620
oct45064700540
913761530060
104979917152
112126040511
12b6b920600
13614949852
14353554880
151e22db01c
hex128d38160

4979917152 has 96 divisors (see below), whose sum is σ = 16599744000. Its totient is φ = 1422831744.

The previous prime is 4979917093. The next prime is 4979917169. The reversal of 4979917152 is 2517199794.

4979917152 is a `hidden beast` number, since 497 + 99 + 17 + 1 + 52 = 666.

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

It is a super-2 number, since 2×49799171522 = 49599149681567582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 405652 + ... + 417747.

It is an arithmetic number, because the mean of its divisors is an integer number (172914000).

Almost surely, 24979917152 is an apocalyptic number.

4979917152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4979917152 is an abundant number, since it is smaller than the sum of its proper divisors (11619826848).

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

4979917152 is a wasteful number, since it uses less digits than its factorization.

4979917152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823425 (or 823411 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 54.

The square root of 4979917152 is about 70568.5280560676. The cubic root of 4979917152 is about 1707.6834621557.

The spelling of 4979917152 in words is "four billion, nine hundred seventy-nine million, nine hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 823399 1646798 2470197 3293596 4940394 5763793 6587192 7410591 9880788 11527586 13174384 14821182 17291379 19761576 22231773 23055172 26348768 29642364 34582758 39523152 44463546 46110344 51874137 59284728 69165516 79046304 88927092 92220688 103748274 118569456 138331032 155622411 177854184 184441376 207496548 237138912 276662064 311244822 355708368 414993096 553324128 622489644 711416736 829986192 1244979288 1659972384 2489958576 4979917152