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45229464 = 23327432087
BaseRepresentation
bin1010110010001…
…0010110011000
310011002220011100
42230202112120
543034320324
64253231400
71056305220
oct254422630
9104086140
1045229464
1123592625
1213192560
1394a7bc7
146015080
153e864c9
hex2b22598

45229464 has 96 divisors (see below), whose sum is σ = 143320320. Its totient is φ = 12616128.

The previous prime is 45229423. The next prime is 45229501. The reversal of 45229464 is 46492254.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 20629 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (1492920).

Almost surely, 245229464 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 45229464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71660160).

45229464 is an abundant number, since it is smaller than the sum of its proper divisors (98090856).

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

45229464 is a wasteful number, since it uses less digits than its factorization.

45229464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 45229464 is about 6725.2854214524. The cubic root of 45229464 is about 356.2928827419.

The spelling of 45229464 in words is "forty-five million, two hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2087 2408 2709 3096 3612 4174 5418 6261 7224 8348 10836 12522 14609 16696 18783 21672 25044 29218 37566 43827 50088 58436 75132 87654 89741 116872 131481 150264 175308 179482 262962 269223 350616 358964 525924 538446 628187 717928 807669 1051848 1076892 1256374 1615338 1884561 2153784 2512748 3230676 3769122 5025496 5653683 6461352 7538244 11307366 15076488 22614732 45229464