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95964048 = 24331773179
BaseRepresentation
bin1011011100001…
…00101110010000
320200120110221000
411232010232100
5144031322143
613304502000
72243452365
oct556045620
9220513830
1095964048
114a195234
122817a900
1316b5c77b
14ca6046c
158658bd3
hex5b84b90

95964048 has 160 divisors (see below), whose sum is σ = 297302400. Its totient is φ = 29528064.

The previous prime is 95964047. The next prime is 95964049. The reversal of 95964048 is 84046959.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95964047) and next prime (95964049).

It is a junction number, because it is equal to n+sod(n) for n = 95963994 and 95964012.

It is not an unprimeable number, because it can be changed into a prime (95964047) 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, 536023 + ... + 536201.

It is an arithmetic number, because the mean of its divisors is an integer number (1858140).

Almost surely, 295964048 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 95964048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

95964048 is an abundant number, since it is smaller than the sum of its proper divisors (201338352).

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

95964048 is a wasteful number, since it uses less digits than its factorization.

95964048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 95964048 is about 9796.1241315124. The cubic root of 95964048 is about 457.8285304866.

The spelling of 95964048 in words is "ninety-five million, nine hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 153 179 204 216 219 272 292 306 358 408 432 438 459 537 584 612 657 716 816 876 918 1074 1168 1224 1241 1314 1432 1611 1752 1836 1971 2148 2448 2482 2628 2864 3043 3222 3504 3672 3723 3942 4296 4833 4964 5256 6086 6444 7344 7446 7884 8592 9129 9666 9928 10512 11169 12172 12888 13067 14892 15768 18258 19332 19856 22338 24344 25776 26134 27387 29784 31536 33507 36516 38664 39201 44676 48688 52268 54774 59568 67014 73032 77328 78402 82161 89352 104536 109548 117603 134028 146064 156804 164322 178704 209072 219096 222139 235206 268056 313608 328644 352809 438192 444278 470412 536112 627216 657288 666417 705618 888556 940824 1314576 1332834 1411236 1777112 1881648 1999251 2665668 2822472 3554224 3998502 5331336 5644944 5997753 7997004 10662672 11995506 15994008 23991012 31988016 47982024 95964048