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45679480 = 23571114831
BaseRepresentation
bin1010111001000…
…0001101111000
310011221202110121
42232100031320
543143220410
64311023024
71063161220
oct256201570
9104852417
1045679480
112386a740
121336aa74
1396049a2
1460d1080
1540249da
hex2b90378

45679480 has 64 divisors (see below), whose sum is σ = 128148480. Its totient is φ = 14236800.

The previous prime is 45679409. The next prime is 45679507. The reversal of 45679480 is 8497654.

It is a super-2 number, since 2×456794802 = 4173229786140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4336 + ... + 10495.

It is an arithmetic number, because the mean of its divisors is an integer number (2002320).

Almost surely, 245679480 is an apocalyptic number.

45679480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45679480 is an abundant number, since it is smaller than the sum of its proper divisors (82469000).

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

45679480 is a wasteful number, since it uses less digits than its factorization.

45679480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14860 (or 14856 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 45679480 is about 6758.6596304297. The cubic root of 45679480 is about 357.4706448911.

The spelling of 45679480 in words is "forty-five million, six hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 14831 29662 59324 74155 103817 118648 148310 163141 207634 296620 326282 415268 519085 593240 652564 815705 830536 1038170 1141987 1305128 1631410 2076340 2283974 3262820 4152680 4567948 5709935 6525640 9135896 11419870 22839740 45679480