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45373692 = 223713371123
BaseRepresentation
bin1010110100010…
…1100011111100
310011101020000010
42231011203330
543103424232
64300303220
71060445550
oct255054374
9104336003
1045373692
1123680a21
1213241b10
139528750
146051860
153eb40cc
hex2b458fc

45373692 has 96 divisors (see below), whose sum is σ = 133944832. Its totient is φ = 11632896.

The previous prime is 45373667. The next prime is 45373703. The reversal of 45373692 is 29637354.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45373692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39843 + ... + 40965.

Almost surely, 245373692 is an apocalyptic number.

45373692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45373692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66972416).

45373692 is an abundant number, since it is smaller than the sum of its proper divisors (88571140).

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

45373692 is a wasteful number, since it uses less digits than its factorization.

45373692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1185 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 45373692 is about 6735.9997030879. Note that the first 3 decimals coincide. The cubic root of 45373692 is about 356.6711972328.

The spelling of 45373692 in words is "forty-five million, three hundred seventy-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1123 1443 1554 1924 2246 2886 3108 3367 3369 4492 5772 6734 6738 7861 10101 13468 13476 14599 15722 20202 23583 29198 31444 40404 41551 43797 47166 58396 83102 87594 94332 102193 124653 166204 175188 204386 249306 290857 306579 408772 498612 540163 581714 613158 872571 1080326 1163428 1226316 1620489 1745142 2160652 3240978 3490284 3781141 6481956 7562282 11343423 15124564 22686846 45373692