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54852096 = 293134167
BaseRepresentation
bin1101000100111…
…1101000000000
310211012202221010
43101033220000
5103020231341
65235400520
71234143435
oct321175000
9124182833
1054852096
1128a65212
1216453140
13b496a80
1473dbb8c
154c37716
hex344fa00

54852096 has 160 divisors (see below), whose sum is σ = 163614528. Its totient is φ = 16220160.

The previous prime is 54852071. The next prime is 54852097. The reversal of 54852096 is 69025845.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54852097) 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, 818655 + ... + 818721.

Almost surely, 254852096 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 54852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807264).

54852096 is an abundant number, since it is smaller than the sum of its proper divisors (108762432).

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

54852096 is a wasteful number, since it uses less digits than its factorization.

54852096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 54852096 is about 7406.2200885472. The cubic root of 54852096 is about 379.9540479984.

The spelling of 54852096 in words is "fifty-four million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 67 78 82 96 104 123 128 134 156 164 192 201 208 246 256 268 312 328 384 402 416 492 512 533 536 624 656 768 804 832 871 984 1066 1072 1248 1312 1536 1599 1608 1664 1742 1968 2132 2144 2496 2613 2624 2747 3198 3216 3328 3484 3936 4264 4288 4992 5226 5248 5494 6396 6432 6656 6968 7872 8241 8528 8576 9984 10452 10496 10988 12792 12864 13936 15744 16482 17056 17152 19968 20904 20992 21976 25584 25728 27872 31488 32964 34112 34304 35711 41808 43952 51168 51456 55744 62976 65928 68224 71422 83616 87904 102336 102912 107133 111488 131856 136448 142844 167232 175808 204672 214266 222976 263712 272896 285688 334464 351616 409344 428532 445952 527424 571376 668928 703232 818688 857064 1054848 1142752 1337856 1406464 1714128 2109696 2285504 3428256 4219392 4571008 6856512 9142016 13713024 18284032 27426048 54852096