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90655152 = 24371759269
BaseRepresentation
bin1010110011101…
…00100110110000
320022120202111020
411121310212300
5141201431102
612555015440
72150361510
oct531644660
9208522436
1090655152
1147199615
122643a580
1315a21203
14c07b840
157e5abbc
hex56749b0

90655152 has 160 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 23875584.

The previous prime is 90655091. The next prime is 90655153. The reversal of 90655152 is 25155609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90655153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336874 + ... + 337142.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 290655152 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 90655152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

90655152 is an abundant number, since it is smaller than the sum of its proper divisors (198612048).

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

90655152 is a wasteful number, since it uses less digits than its factorization.

90655152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 90655152 is about 9521.2999112516. The cubic root of 90655152 is about 449.2252545743.

The spelling of 90655152 in words is "ninety million, six hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 59 68 84 102 112 118 119 136 168 177 204 236 238 269 272 336 354 357 408 413 472 476 538 708 714 807 816 826 944 952 1003 1076 1239 1416 1428 1614 1652 1883 1904 2006 2152 2478 2832 2856 3009 3228 3304 3766 4012 4304 4573 4956 5649 5712 6018 6456 6608 7021 7532 8024 9146 9912 11298 12036 12912 13719 14042 15064 15871 16048 18292 19824 21063 22596 24072 27438 28084 30128 31742 32011 36584 42126 45192 47613 48144 54876 56168 63484 64022 73168 84252 90384 95226 96033 109752 111097 112336 126968 128044 168504 190452 192066 219504 222194 253936 256088 269807 333291 337008 380904 384132 444388 512176 539614 666582 761808 768264 809421 888776 1079228 1333164 1536528 1618842 1777552 1888649 2158456 2666328 3237684 3777298 4316912 5332656 5665947 6475368 7554596 11331894 12950736 15109192 22663788 30218384 45327576 90655152