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148920552 = 233311233269
BaseRepresentation
bin10001110000001…
…01100011101000
3101101012221121000
420320011203220
5301110424202
622435515000
73455542464
oct1070054350
9341187530
10148920552
1177075240
1241a58a60
1324b11791
1415ac74a4
15d11991c
hex8e058e8

148920552 has 128 divisors (see below), whose sum is σ = 454896000. Its totient is φ = 44766720.

The previous prime is 148920547. The next prime is 148920647. The reversal of 148920552 is 255029841.

148920552 is a `hidden beast` number, since 1 + 4 + 89 + 20 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553474 + ... + 553742.

It is an arithmetic number, because the mean of its divisors is an integer number (3553875).

Almost surely, 2148920552 is an apocalyptic number.

148920552 is a gapful number since it is divisible by the number (12) 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 148920552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448000).

148920552 is an abundant number, since it is smaller than the sum of its proper divisors (305975448).

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

148920552 is a wasteful number, since it uses less digits than its factorization.

148920552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 148920552 is about 12203.3008649299. The cubic root of 148920552 is about 530.0516764612.

The spelling of 148920552 in words is "one hundred forty-eight million, nine hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 233 264 269 297 396 466 538 594 699 792 807 932 1076 1188 1398 1614 1864 2097 2152 2376 2421 2563 2796 2959 3228 4194 4842 5126 5592 5918 6291 6456 7263 7689 8388 8877 9684 10252 11836 12582 14526 15378 16776 17754 19368 20504 23067 23672 25164 26631 29052 30756 35508 46134 50328 53262 58104 61512 62677 69201 71016 79893 92268 106524 125354 138402 159786 184536 188031 213048 250708 276804 319572 376062 501416 553608 564093 639144 689447 752124 1128186 1378894 1504248 1692279 2068341 2256372 2757788 3384558 4136682 4512744 5515576 6205023 6769116 8273364 12410046 13538232 16546728 18615069 24820092 37230138 49640184 74460276 148920552