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55572264 = 233311191231
BaseRepresentation
bin1101001111111…
…1011100101000
310212120100211000
43103333130220
5103211303024
65303035000
71243233156
oct323773450
9125510730
1055572264
11294072a0
121673ba60
13b6897c7
1475483d6
154d2acc9
hex34ff728

55572264 has 128 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 15940800.

The previous prime is 55572263. The next prime is 55572287. The reversal of 55572264 is 46227555.

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

It is not an unprimeable number, because it can be changed into a prime (55572263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44529 + ... + 45759.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 255572264 is an apocalyptic number.

55572264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55572264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

55572264 is an abundant number, since it is smaller than the sum of its proper divisors (121835736).

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

55572264 is a wasteful number, since it uses less digits than its factorization.

55572264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 55572264 is about 7454.6806772658. The cubic root of 55572264 is about 381.6096631389.

The spelling of 55572264 in words is "fifty-five million, five hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1231 1254 1368 1672 1881 2052 2376 2462 2508 3693 3762 4104 4924 5016 5643 7386 7524 9848 11079 11286 13541 14772 15048 22158 22572 23389 27082 29544 33237 40623 44316 45144 46778 54164 66474 70167 81246 88632 93556 108328 121869 132948 140334 162492 187112 210501 243738 257279 265896 280668 324984 365607 421002 487476 514558 561336 631503 731214 771837 842004 974952 1029116 1263006 1462428 1543674 1684008 2058232 2315511 2526012 2924856 3087348 4631022 5052024 6174696 6946533 9262044 13893066 18524088 27786132 55572264