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75634420 = 22531432837
BaseRepresentation
bin1001000001000…
…01011011110100
312021022121220211
410200201123310
5123330300140
611301035204
71605611341
oct440413364
9167277824
1075634420
113976a294
12213b5b04
13128922c4
14a08b7c8
1569902ea
hex48216f4

75634420 has 48 divisors (see below), whose sum is σ = 167827968. Its totient is φ = 28586880.

The previous prime is 75634409. The next prime is 75634529. The reversal of 75634420 is 2443657.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25242 + ... + 28078.

It is an arithmetic number, because the mean of its divisors is an integer number (3496416).

Almost surely, 275634420 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 75634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83913984).

75634420 is an abundant number, since it is smaller than the sum of its proper divisors (92193548).

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

75634420 is a wasteful number, since it uses less digits than its factorization.

75634420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 75634420 is about 8696.8051605173. The cubic root of 75634420 is about 422.9020856219.

The spelling of 75634420 in words is "seventy-five million, six hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 860 1333 2666 2837 5332 5674 6665 11348 13330 14185 26660 28370 56740 87947 121991 175894 243982 351788 439735 487964 609955 879470 1219910 1758940 2439820 3781721 7563442 15126884 18908605 37817210 75634420