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95429920 = 255677881
BaseRepresentation
bin1011011000000…
…10010100100000
320122120100020111
411230002110200
5143412224140
613245221104
72236066225
oct554022440
9218510214
1095429920
114995aa03
1227b61794
1316a03611
14c96194c
1585a07ea
hex5b02520

95429920 has 48 divisors (see below), whose sum is σ = 226042488. Its totient is φ = 38072320.

The previous prime is 95429899. The next prime is 95429927. The reversal of 95429920 is 2992459.

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 7595536 = 9372^2 + 2756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (95429927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107880 + ... + 108760.

Almost surely, 295429920 is an apocalyptic number.

It is an amenable number.

95429920 is an abundant number, since it is smaller than the sum of its proper divisors (130612568).

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

95429920 is a wasteful number, since it uses less digits than its factorization.

95429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 95429920 is about 9768.8238800789. The cubic root of 95429920 is about 456.9775376919.

The spelling of 95429920 in words is "ninety-five million, four hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 677 881 1354 1762 2708 3385 3524 4405 5416 6770 7048 8810 10832 13540 14096 17620 21664 27080 28192 35240 54160 70480 108320 140960 596437 1192874 2385748 2982185 4771496 5964370 9542992 11928740 19085984 23857480 47714960 95429920