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45076480 = 21253171
BaseRepresentation
bin1010101111110…
…1000000000000
310010211010022021
42223331000000
543014421410
64250051224
71055100211
oct253750000
9103733267
1045076480
1123498699
1213119b14
139453397
145db5408
153e55eda
hex2afd000

45076480 has 104 divisors (see below), whose sum is σ = 113232384. Its totient is φ = 17203200.

The previous prime is 45076477. The next prime is 45076517. The reversal of 45076480 is 8467054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634845 + ... + 634915.

Almost surely, 245076480 is an apocalyptic number.

45076480 is a gapful number since it is divisible by the number (40) 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 45076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56616192).

45076480 is an abundant number, since it is smaller than the sum of its proper divisors (68155904).

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

45076480 is an equidigital number, since it uses as much as digits as its factorization.

45076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45076480 is about 6713.9019951143. The cubic root of 45076480 is about 355.8907209931.

The spelling of 45076480 in words is "forty-five million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 128 142 155 160 248 256 284 310 320 355 496 512 568 620 640 710 992 1024 1136 1240 1280 1420 1984 2048 2201 2272 2480 2560 2840 3968 4096 4402 4544 4960 5120 5680 7936 8804 9088 9920 10240 11005 11360 15872 17608 18176 19840 20480 22010 22720 31744 35216 36352 39680 44020 45440 63488 70432 72704 79360 88040 90880 126976 140864 145408 158720 176080 181760 281728 290816 317440 352160 363520 563456 634880 704320 727040 1126912 1408640 1454080 2253824 2817280 4507648 5634560 9015296 11269120 22538240 45076480