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95269344 = 2531922749
BaseRepresentation
bin1011010110110…
…11000111100000
320122021011222020
411223123013200
5143342104334
613241541440
72234530122
oct553330740
9218234866
1095269344
11498602a5
1227aa4880
13169784c1
14c91d212
15856ce49
hex5adb1e0

95269344 has 72 divisors (see below), whose sum is σ = 264033000. Its totient is φ = 30074112.

The previous prime is 95269337. The next prime is 95269351. The reversal of 95269344 is 44396259.

It is an interprime number because it is at equal distance from previous prime (95269337) and next prime (95269351).

It is a junction number, because it is equal to n+sod(n) for n = 95269296 and 95269305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33282 + ... + 36030.

It is an arithmetic number, because the mean of its divisors is an integer number (3667125).

Almost surely, 295269344 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 95269344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132016500).

95269344 is an abundant number, since it is smaller than the sum of its proper divisors (168763656).

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

95269344 is a wasteful number, since it uses less digits than its factorization.

95269344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2773 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 95269344 is about 9760.6016208019. The cubic root of 95269344 is about 456.7210813617.

The spelling of 95269344 in words is "ninety-five million, two hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2749 2888 4332 5498 5776 8247 8664 10996 11552 16494 17328 21992 32988 34656 43984 52231 65976 87968 104462 131952 156693 208924 263904 313386 417848 626772 835696 992389 1253544 1671392 1984778 2507088 2977167 3969556 5014176 5954334 7939112 11908668 15878224 23817336 31756448 47634672 95269344