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95130624 = 2103173179
BaseRepresentation
bin1011010101110…
…01010000000000
320122000010200110
411222321100000
5143323134444
613234551320
72233411521
oct552712000
9218003613
1095130624
1149776056
1227a38540
131692a314
14c8c4848
158541cb9
hex5ab9400

95130624 has 88 divisors (see below), whose sum is σ = 256448160. Its totient is φ = 31350784.

The previous prime is 95130617. The next prime is 95130631. The reversal of 95130624 is 42603159.

It is an interprime number because it is at equal distance from previous prime (95130617) and next prime (95130631).

It is a junction number, because it is equal to n+sod(n) for n = 95130591 and 95130600.

It is a congruent number.

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, 531367 + ... + 531545.

Almost surely, 295130624 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 95130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128224080).

95130624 is an abundant number, since it is smaller than the sum of its proper divisors (161317536).

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

95130624 is a wasteful number, since it uses less digits than its factorization.

95130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 95130624 is about 9753.4929127980. The cubic root of 95130624 is about 456.4992991971.

The spelling of 95130624 in words is "ninety-five million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 179 192 256 346 358 384 512 519 537 692 716 768 1024 1038 1074 1384 1432 1536 2076 2148 2768 2864 3072 4152 4296 5536 5728 8304 8592 11072 11456 16608 17184 22144 22912 30967 33216 34368 44288 45824 61934 66432 68736 88576 91648 92901 123868 132864 137472 177152 183296 185802 247736 265728 274944 371604 495472 531456 549888 743208 990944 1486416 1981888 2972832 3963776 5945664 7927552 11891328 15855104 23782656 31710208 47565312 95130624