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73138492 = 22737227311
BaseRepresentation
bin1000101110000…
…00000100111100
312002121211011001
410113000010330
5122210412432
611131340044
71545444520
oct427000474
9162554131
1073138492
1138315039
12205b1624
13121ca21b
1499dbd80
15664a9e7
hex45c013c

73138492 has 48 divisors (see below), whose sum is σ = 151377408. Its totient is φ = 30265920.

The previous prime is 73138489. The next prime is 73138519. The reversal of 73138492 is 29483137.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235017 + ... + 235327.

It is an arithmetic number, because the mean of its divisors is an integer number (3153696).

Almost surely, 273138492 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 73138492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75688704).

73138492 is an abundant number, since it is smaller than the sum of its proper divisors (78238916).

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

73138492 is a wasteful number, since it uses less digits than its factorization.

73138492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 73138492 is about 8552.1045363115. The cubic root of 73138492 is about 418.1980472192.

The spelling of 73138492 in words is "seventy-three million, one hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 28 37 74 148 227 259 311 454 518 622 908 1036 1244 1589 2177 3178 4354 6356 8399 8708 11507 16798 23014 33596 46028 58793 70597 80549 117586 141194 161098 235172 282388 322196 494179 988358 1976716 2612089 5224178 10448356 18284623 36569246 73138492