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55603968 = 283710343
BaseRepresentation
bin1101010000011…
…1001100000000
310212121222022020
43110013030000
5103213311333
65303441440
71243424460
oct324071400
9125558266
1055603968
11294290a2
1216756280
13b69b074
147555ba0
154d353b3
hex3507300

55603968 has 72 divisors (see below), whose sum is σ = 169145088. Its totient is φ = 15885312.

The previous prime is 55603939. The next prime is 55603973. The reversal of 55603968 is 86930655.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 10547.

Almost surely, 255603968 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 55603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84572544).

55603968 is an abundant number, since it is smaller than the sum of its proper divisors (113541120).

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

55603968 is a wasteful number, since it uses less digits than its factorization.

55603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 55603968 is about 7456.8068232991. The cubic root of 55603968 is about 381.6822188341.

The spelling of 55603968 in words is "fifty-five million, six hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 10343 20686 31029 41372 62058 72401 82744 124116 144802 165488 217203 248232 289604 330976 434406 496464 579208 661952 868812 992928 1158416 1323904 1737624 1985856 2316832 2647808 3475248 3971712 4633664 6950496 7943424 9267328 13900992 18534656 27801984 55603968