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95421952 = 291719577
BaseRepresentation
bin1011011000000…
…00011000000000
320122112221022101
411230000120000
5143412000302
613245120144
72236034053
oct554003000
9218487271
1095421952
1149954a1a
1227b59054
13169ccac2
14c95ca9a
15859d287
hex5b00600

95421952 has 80 divisors (see below), whose sum is σ = 212865840. Its totient is φ = 42467328.

The previous prime is 95421943. The next prime is 95421961. The reversal of 95421952 is 25912459.

It is an interprime number because it is at equal distance from previous prime (95421943) and next prime (95421961).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165088 + ... + 165664.

It is an arithmetic number, because the mean of its divisors is an integer number (2660823).

Almost surely, 295421952 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 95421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106432920).

95421952 is an abundant number, since it is smaller than the sum of its proper divisors (117443888).

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

95421952 is a wasteful number, since it uses less digits than its factorization.

95421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 95421952 is about 9768.4160435559. The cubic root of 95421952 is about 456.9648187656.

It can be divided in two parts, 954219 and 52, that added together give a triangular number (954271 = T1381).

The spelling of 95421952 in words is "ninety-five million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 577 608 646 1088 1154 1216 1292 2176 2308 2432 2584 4352 4616 4864 5168 8704 9232 9728 9809 10336 10963 18464 19618 20672 21926 36928 39236 41344 43852 73856 78472 82688 87704 147712 156944 165376 175408 186371 295424 313888 350816 372742 627776 701632 745484 1255552 1403264 1490968 2511104 2806528 2981936 5022208 5613056 5963872 11927744 23855488 47710976 95421952