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73557428 = 2272537397
BaseRepresentation
bin1000110001001…
…10010110110100
312010102002211012
410120212112310
5122312314203
611144331352
71552141100
oct430462664
9163362735
1073557428
113858086a
1220773b58
1312315b09
149aaa900
1566cebd8
hex46265b4

73557428 has 72 divisors (see below), whose sum is σ = 156251592. Its totient is φ = 30191616.

The previous prime is 73557383. The next prime is 73557431. The reversal of 73557428 is 82475537.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 55681444 = 4228^2 + 7462^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758276 + ... + 758372.

It is an arithmetic number, because the mean of its divisors is an integer number (2170161).

Almost surely, 273557428 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 73557428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78125796).

73557428 is an abundant number, since it is smaller than the sum of its proper divisors (82694164).

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

73557428 is a wasteful number, since it uses less digits than its factorization.

73557428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The square root of 73557428 is about 8576.5627147477. The cubic root of 73557428 is about 418.9950045257.

The spelling of 73557428 in words is "seventy-three million, five hundred fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 53 73 97 98 106 146 194 196 212 292 371 388 511 679 742 1022 1358 1484 2044 2597 2716 3577 3869 4753 5141 5194 7081 7154 7738 9506 10282 10388 14162 14308 15476 19012 20564 27083 28324 35987 49567 54166 71974 99134 108332 143948 189581 198268 251909 346969 375293 379162 503818 693938 750586 758324 1007636 1387876 1501172 2627051 5254102 10508204 18389357 36778714 73557428