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155297088 = 2634291033
BaseRepresentation
bin10010100000110…
…10010101000000
3101211012220120000
421100122111000
5304224001323
623224320000
73564001122
oct1120322500
9354186500
10155297088
117a730001
1244013000
1326234c8b
14168a7212
15d978e43
hex941a540

155297088 has 140 divisors (see below), whose sum is σ = 476684340. Its totient is φ = 49932288.

The previous prime is 155297047. The next prime is 155297101. The reversal of 155297088 is 880792551.

It is a happy number.

155297088 is a `hidden beast` number, since 1 + 552 + 97 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 32353344 = 11088^2 + 5688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149820 + ... + 150852.

Almost surely, 2155297088 is an apocalyptic number.

155297088 is a gapful number since it is divisible by the number (18) 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 155297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238342170).

155297088 is an abundant number, since it is smaller than the sum of its proper divisors (321387252).

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

155297088 is a wasteful number, since it uses less digits than its factorization.

155297088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 155297088 is about 12461.8252274697. The cubic root of 155297088 is about 537.5115128596.

The spelling of 155297088 in words is "one hundred fifty-five million, two hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1033 1044 1296 1392 1566 1728 1856 2066 2088 2349 2592 2784 3099 3132 4132 4176 4698 5184 5568 6198 6264 8264 8352 9297 9396 12396 12528 16528 16704 18594 18792 24792 25056 27891 29957 33056 37188 37584 49584 50112 55782 59914 66112 74376 75168 83673 89871 99168 111564 119828 148752 150336 167346 179742 198336 223128 239656 269613 297504 334692 359484 446256 479312 539226 595008 669384 718968 808839 892512 958624 1078452 1338768 1437936 1617678 1785024 1917248 2156904 2426517 2677536 2875872 3235356 4313808 4853034 5355072 5751744 6470712 8627616 9706068 12941424 17255232 19412136 25882848 38824272 51765696 77648544 155297088