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55672272 = 24373743
BaseRepresentation
bin1101010001011…
…1110111010000
310212202110000000
43110113313100
5103223003042
65305130000
71244130555
oct324276720
9125673000
1055672272
1129475447
1216789900
13b6c3196
147572a2c
154d4a74c
hex3517dd0

55672272 has 160 divisors (see below), whose sum is σ = 170008960. Its totient is φ = 17635968.

The previous prime is 55672237. The next prime is 55672283. The reversal of 55672272 is 27227655.

55672272 is a `hidden beast` number, since 5 + 567 + 22 + 72 = 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 31 ways as a sum of consecutive naturals, for example, 1294683 + ... + 1294725.

It is an arithmetic number, because the mean of its divisors is an integer number (1062556).

Almost surely, 255672272 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 55672272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85004480).

55672272 is an abundant number, since it is smaller than the sum of its proper divisors (114336688).

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

55672272 is an equidigital number, since it uses as much as digits as its factorization.

55672272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 55672272 is about 7461.3853941477. The cubic root of 55672272 is about 381.8384412256.

The spelling of 55672272 in words is "fifty-five million, six hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 43 48 54 72 74 81 86 108 111 129 144 148 162 172 216 222 243 258 296 324 333 344 387 432 444 486 516 592 648 666 688 729 774 888 972 999 1032 1161 1296 1332 1458 1548 1591 1776 1944 1998 2064 2187 2322 2664 2916 2997 3096 3182 3483 3888 3996 4374 4644 4773 5328 5832 5994 6192 6364 6966 7992 8748 8991 9288 9546 10449 11664 11988 12728 13932 14319 15984 17496 17982 18576 19092 20898 23976 25456 26973 27864 28638 31347 34992 35964 38184 41796 42957 47952 53946 55728 57276 62694 71928 76368 80919 83592 85914 94041 107892 114552 125388 128871 143856 161838 167184 171828 188082 215784 229104 250776 257742 323676 343656 376164 386613 431568 501552 515484 647352 687312 752328 773226 1030968 1159839 1294704 1504656 1546452 2061936 2319678 3092904 3479517 4639356 6185808 6959034 9278712 13918068 18557424 27836136 55672272