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145756884 = 2237131271051
BaseRepresentation
bin10001011000000…
…01001011010100
3101011021012212010
420230001023110
5244303210014
622244024220
73416625120
oct1054011324
9334235763
10145756884
1175304339
1240992070
13242747a0
1415502580
15cbe2359
hex8b012d4

145756884 has 96 divisors (see below), whose sum is σ = 422281216. Its totient is φ = 38102400.

The previous prime is 145756859. The next prime is 145756889. The reversal of 145756884 is 488657541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145756889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138159 + ... + 139209.

Almost surely, 2145756884 is an apocalyptic number.

145756884 is a gapful number since it is divisible by the number (14) 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 145756884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211140608).

145756884 is an abundant number, since it is smaller than the sum of its proper divisors (276524332).

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

145756884 is a wasteful number, since it uses less digits than its factorization.

145756884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 145756884 is about 12072.9815704324. The cubic root of 145756884 is about 526.2713063029.

The spelling of 145756884 in words is "one hundred forty-five million, seven hundred fifty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 1051 1092 1524 1651 1778 2102 2667 3153 3302 3556 4204 4953 5334 6306 6604 7357 9906 10668 11557 12612 13663 14714 19812 22071 23114 27326 29428 34671 40989 44142 46228 54652 69342 81978 88284 95641 133477 138684 163956 191282 266954 286923 382564 400431 533908 573846 800862 934339 1147692 1601724 1735201 1868678 2803017 3470402 3737356 5205603 5606034 6940804 10411206 11212068 12146407 20822412 24292814 36439221 48585628 72878442 145756884