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45499968 = 263467131
BaseRepresentation
bin1010110110010…
…0011001000000
310011121122020000
42231210121000
543121444333
64303120000
71061512653
oct255443100
9104548200
1045499968
1123757888
12132a3000
139571077
14608589a
153edb713
hex2b64640

45499968 has 140 divisors (see below), whose sum is σ = 137934192. Its totient is φ = 14826240.

The previous prime is 45499967. The next prime is 45499969. The reversal of 45499968 is 86999454.

45499968 is a `hidden beast` number, since 4 + 549 + 9 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45499967) and next prime (45499969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45499963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347263 + ... + 347393.

Almost surely, 245499968 is an apocalyptic number.

45499968 is a gapful number since it is divisible by the number (48) 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 45499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68967096).

45499968 is an abundant number, since it is smaller than the sum of its proper divisors (92434224).

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

45499968 is a wasteful number, since it uses less digits than its factorization.

45499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 45499968 is about 6745.3664096178. The cubic root of 45499968 is about 357.0017654033.

The spelling of 45499968 in words is "forty-five million, four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 131 134 144 162 192 201 216 262 268 288 324 393 402 432 524 536 576 603 648 786 804 864 1048 1072 1179 1206 1296 1572 1608 1728 1809 2096 2144 2358 2412 2592 3144 3216 3537 3618 4192 4288 4716 4824 5184 5427 6288 6432 7074 7236 8384 8777 9432 9648 10611 10854 12576 12864 14148 14472 17554 18864 19296 21222 21708 25152 26331 28296 28944 35108 37728 38592 42444 43416 52662 56592 57888 70216 75456 78993 84888 86832 105324 113184 115776 140432 157986 169776 173664 210648 226368 236979 280864 315972 339552 347328 421296 473958 561728 631944 679104 710937 842592 947916 1263888 1421874 1685184 1895832 2527776 2843748 3791664 5055552 5687496 7583328 11374992 15166656 22749984 45499968