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45444630 = 235711103191
BaseRepresentation
bin1010110101011…
…0111000010110
310011111211022110
42231112320112
543113212010
64302011450
71061162430
oct255267026
9104454273
1045444630
112371a250
1213276b86
139551b1a
14606d650
153eca120
hex2b56e16

45444630 has 128 divisors (see below), whose sum is σ = 138018816. Its totient is φ = 9302400.

The previous prime is 45444613. The next prime is 45444631. The reversal of 45444630 is 3644454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237835 + ... + 238025.

It is an arithmetic number, because the mean of its divisors is an integer number (1078272).

Almost surely, 245444630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45444630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69009408).

45444630 is an abundant number, since it is smaller than the sum of its proper divisors (92574186).

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

45444630 is a wasteful number, since it uses less digits than its factorization.

45444630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 45444630 is about 6741.2632347358. The cubic root of 45444630 is about 356.8569757174.

The spelling of 45444630 in words is "forty-five million, four hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 103 105 110 154 165 191 206 210 231 309 330 382 385 462 515 573 618 721 770 955 1030 1133 1146 1155 1337 1442 1545 1910 2101 2163 2266 2310 2674 2865 3090 3399 3605 4011 4202 4326 5665 5730 6303 6685 6798 7210 7931 8022 10505 10815 11330 12606 13370 14707 15862 16995 19673 20055 21010 21630 23793 29414 31515 33990 39346 39655 40110 44121 47586 59019 63030 73535 79310 88242 98365 118038 118965 137711 147070 196730 216403 220605 237930 275422 295095 413133 432806 441210 590190 649209 688555 826266 1082015 1298418 1377110 1514821 2065665 2164030 3029642 3246045 4131330 4544463 6492090 7574105 9088926 15148210 22722315 45444630