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25076142 = 2397213
BaseRepresentation
bin101111110101…
…0000110101110
31202012000000000
41133222012232
522404414032
62253245130
7423100200
oct137520656
952160000
1025076142
1113178093
1284937a6
13526ca70
14348a770
152304e7c
hex17ea1ae

25076142 has 120 divisors (see below), whose sum is σ = 70680456. Its totient is φ = 6613488.

The previous prime is 25076131. The next prime is 25076147. The reversal of 25076142 is 24167052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25076147) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1928928 + ... + 1928940.

Almost surely, 225076142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25076142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340228).

25076142 is an abundant number, since it is smaller than the sum of its proper divisors (45604314).

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

25076142 is an frugal number, since it uses more digits than its factorization.

25076142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25076142 is about 5007.6084112079. The cubic root of 25076142 is about 292.6983270342.

It can be divided in two parts, 2507 and 6142, that added together give a square (8649 = 932).

The spelling of 25076142 in words is "twenty-five million, seventy-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 243 273 294 351 378 441 486 546 567 637 702 729 819 882 1053 1134 1274 1323 1458 1638 1701 1911 2106 2187 2457 2646 3159 3402 3822 3969 4374 4914 5103 5733 6318 6561 7371 7938 9477 10206 11466 11907 13122 14742 15309 17199 18954 19683 22113 23814 28431 30618 34398 35721 39366 44226 45927 51597 56862 66339 71442 85293 91854 103194 107163 132678 137781 154791 170586 199017 214326 255879 275562 309582 321489 398034 464373 511758 597051 642978 928746 964467 1194102 1393119 1791153 1928934 2786238 3582306 4179357 8358714 12538071 25076142