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95250432 = 211337419
BaseRepresentation
bin1011010110101…
…10100000000000
320122020020000210
411223112200000
5143341003212
613241314120
72234421024
oct553264000
9218206023
1095250432
1149848072
1227a95940
131696ca04
14c916384
15856753c
hex5ad6800

95250432 has 96 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 30818304.

The previous prime is 95250427. The next prime is 95250443. The reversal of 95250432 is 23405259.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 95250432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227119 + ... + 227537.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 295250432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

95250432 is an abundant number, since it is smaller than the sum of its proper divisors (166174368).

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

95250432 is a wasteful number, since it uses less digits than its factorization.

95250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 95250432 is about 9759.6327799769. The cubic root of 95250432 is about 456.6908579959.

The spelling of 95250432 in words is "ninety-five million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 419 444 512 592 768 838 888 1024 1184 1257 1536 1676 1776 2048 2368 2514 3072 3352 3552 4736 5028 6144 6704 7104 9472 10056 13408 14208 15503 18944 20112 26816 28416 31006 37888 40224 46509 53632 56832 62012 75776 80448 93018 107264 113664 124024 160896 186036 214528 227328 248048 321792 372072 429056 496096 643584 744144 858112 992192 1287168 1488288 1984384 2574336 2976576 3968768 5953152 7937536 11906304 15875072 23812608 31750144 47625216 95250432