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55055952 = 24327193283
BaseRepresentation
bin1101001000000…
…1011001010000
310211121010120100
43102001121100
5103043242302
65244012400
71235652660
oct322013120
9124533510
1055055952
1129094396
1216531100
13b5387b3
1474521a0
154c77d1c
hex3481650

55055952 has 120 divisors (see below), whose sum is σ = 177629504. Its totient is φ = 15593472.

The previous prime is 55055921. The next prime is 55055981. The reversal of 55055952 is 25955055.

55055952 is a `hidden beast` number, since 5 + 50 + 559 + 52 = 666.

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 23 ways as a sum of consecutive naturals, for example, 194403 + ... + 194685.

Almost surely, 255055952 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 55055952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88814752).

55055952 is an abundant number, since it is smaller than the sum of its proper divisors (122573552).

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

55055952 is a wasteful number, since it uses less digits than its factorization.

55055952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The square root of 55055952 is about 7419.9698112593. The cubic root of 55055952 is about 380.4241616407.

The spelling of 55055952 in words is "fifty-five million, fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 193 252 283 336 386 504 566 579 772 849 1008 1132 1158 1351 1544 1698 1737 1981 2264 2316 2547 2702 3088 3396 3474 3962 4053 4528 4632 5094 5404 5943 6792 6948 7924 8106 9264 10188 10808 11886 12159 13584 13896 15848 16212 17829 20376 21616 23772 24318 27792 31696 32424 35658 40752 47544 48636 54619 64848 71316 95088 97272 109238 142632 163857 194544 218476 285264 327714 382333 436952 491571 655428 764666 873904 983142 1146999 1310856 1529332 1966284 2293998 2621712 3058664 3440997 3932568 4587996 6117328 6881994 7865136 9175992 13763988 18351984 27527976 55055952