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54901368 = 23332343257
BaseRepresentation
bin1101000101101…
…1101001111000
310211022021112000
43101123221320
5103023320433
65240421000
71234440204
oct321335170
9124267460
1054901368
1128a99235
1216477760
13b4b3322
147411b04
154c47113
hex345ba78

54901368 has 128 divisors (see below), whose sum is σ = 163468800. Its totient is φ = 17031168.

The previous prime is 54901351. The next prime is 54901387. The reversal of 54901368 is 86310945.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213496 + ... + 213752.

It is an arithmetic number, because the mean of its divisors is an integer number (1277100).

Almost surely, 254901368 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 54901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81734400).

54901368 is an abundant number, since it is smaller than the sum of its proper divisors (108567432).

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

54901368 is a wasteful number, since it uses less digits than its factorization.

54901368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54901368 is about 7409.5457350637. The cubic root of 54901368 is about 380.0677810762.

It can be divided in two parts, 549013 and 68, that added together give a square (549081 = 7412).

The spelling of 54901368 in words is "fifty-four million, nine hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 86 92 108 129 138 172 184 207 216 257 258 276 344 387 414 514 516 552 621 771 774 828 989 1028 1032 1161 1242 1542 1548 1656 1978 2056 2313 2322 2484 2967 3084 3096 3956 4626 4644 4968 5911 5934 6168 6939 7912 8901 9252 9288 11051 11822 11868 13878 17733 17802 18504 22102 23644 23736 26703 27756 33153 35466 35604 44204 47288 53199 53406 55512 66306 70932 71208 88408 99459 106398 106812 132612 141864 159597 198918 212796 213624 254173 265224 298377 319194 397836 425592 508346 596754 638388 762519 795672 1016692 1193508 1276776 1525038 2033384 2287557 2387016 3050076 4575114 6100152 6862671 9150228 13725342 18300456 27450684 54901368