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45487974 = 237323312
BaseRepresentation
bin1010110110000…
…1011101100110
310011121000202210
42231201131212
543121103344
64302544250
71061433000
oct255413546
9104530683
1045487974
1123749874
1213298086
13956877c
146081370
153ed7db9
hex2b61766

45487974 has 96 divisors (see below), whose sum is σ = 114393600. Its totient is φ = 12030480.

The previous prime is 45487927. The next prime is 45487991. The reversal of 45487974 is 47978454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467339 + ... + 1467369.

It is an arithmetic number, because the mean of its divisors is an integer number (1191600).

Almost surely, 245487974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45487974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57196800).

45487974 is an abundant number, since it is smaller than the sum of its proper divisors (68905626).

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

45487974 is a wasteful number, since it uses less digits than its factorization.

45487974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 45487974 is about 6744.4772962773. The cubic root of 45487974 is about 356.9703935463.

The spelling of 45487974 in words is "forty-five million, four hundred eighty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 49 62 69 93 98 138 147 161 186 217 294 322 343 434 483 651 686 713 961 966 1029 1127 1302 1426 1519 1922 2058 2139 2254 2883 3038 3381 4278 4557 4991 5766 6727 6762 7889 9114 9982 10633 13454 14973 15778 20181 21266 22103 23667 29946 31899 34937 40362 44206 47089 47334 63798 66309 69874 94178 104811 132618 141267 154721 209622 244559 282534 309442 329623 464163 489118 659246 733677 928326 988869 1083047 1467354 1977738 2166094 3249141 6498282 7581329 15162658 22743987 45487974