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38952375 = 3537111971
BaseRepresentation
bin1001010010010…
…1110110110111
32201021222121120
42110211312313
534432434000
63510515023
7652042530
oct224456667
981258546
1038952375
111aa95550
1211065a73
1380baa57
14525d687
1536466a0
hex2525db7

38952375 has 128 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 15120000.

The previous prime is 38952373. The next prime is 38952377. The reversal of 38952375 is 57325983.

It is an interprime number because it is at equal distance from previous prime (38952373) and next prime (38952377).

It is not a de Polignac number, because 38952375 - 21 = 38952373 is a prime.

Its product of digits (226800) is a multiple of the sum of its prime factors (126).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38952373) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 548590 + ... + 548660.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 238952375 is an apocalyptic number.

38952375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38952375 is an abundant number, since it is smaller than the sum of its proper divisors (47309385).

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

38952375 is a wasteful number, since it uses less digits than its factorization.

38952375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 38952375 is about 6241.1837819439. The cubic root of 38952375 is about 338.9830483775.

The spelling of 38952375 in words is "thirty-eight million, nine hundred fifty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 71 75 77 95 105 125 133 165 175 209 213 231 275 285 355 375 385 399 475 497 525 627 665 781 825 875 1045 1065 1155 1349 1375 1425 1463 1491 1775 1925 1995 2343 2375 2485 2625 3135 3325 3905 4047 4125 4389 5225 5325 5467 5775 6745 7125 7315 7455 8875 9443 9625 9975 11715 12425 14839 15675 16401 16625 19525 20235 21945 26125 26625 27335 28329 28875 33725 36575 37275 44517 47215 49875 58575 62125 74195 78375 82005 97625 101175 103873 109725 136675 141645 168625 182875 186375 222585 236075 292875 311619 370975 410025 505875 519365 548625 683375 708225 1112925 1180375 1558095 1854875 2050125 2596825 3541125 5564625 7790475 12984125 38952375