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152041461 = 31131329101
BaseRepresentation
bin10010000111111…
…11011111110101
3101121002111200020
421003333133311
5302410311321
623030435353
73524221365
oct1103773765
9347074606
10152041461
1178907000
1242b02b59
1325665180
141629a9a5
15d5344c6
hex90ff7f5

152041461 has 64 divisors (see below), whose sum is σ = 250871040. Its totient is φ = 81312000.

The previous prime is 152041451. The next prime is 152041481. The reversal of 152041461 is 164140251.

It is a happy number.

It is not a de Polignac number, because 152041461 - 25 = 152041429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152041441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505311 + ... + 1505411.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 2152041461 is an apocalyptic number.

152041461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152041461 is a deficient number, since it is larger than the sum of its proper divisors (98829579).

152041461 is a wasteful number, since it uses less digits than its factorization.

152041461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152041461 is about 12330.5093568757. The cubic root of 152041461 is about 533.7288492808.

The spelling of 152041461 in words is "one hundred fifty-two million, forty-one thousand, four hundred sixty-one".

Divisors: 1 3 11 13 29 33 39 87 101 121 143 303 319 363 377 429 957 1111 1131 1313 1331 1573 2929 3333 3509 3939 3993 4147 4719 8787 10527 12221 12441 14443 17303 32219 36663 38077 38599 43329 45617 51909 96657 114231 115797 134431 136851 158873 354409 403293 418847 476619 501787 1063227 1256541 1505361 1747603 3898499 4607317 5242809 11695497 13821951 50680487 152041461