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45690880 = 21252397
BaseRepresentation
bin1010111001001…
…1000000000000
310011222100002211
42232103000000
543144102010
64311151504
71063236364
oct256230000
9104870084
1045690880
1123878264
1213375594
139609c31
1460d52a4
15402808a
hex2b93000

45690880 has 104 divisors (see below), whose sum is σ = 115591392. Its totient is φ = 17301504.

The previous prime is 45690847. The next prime is 45690901. The reversal of 45690880 is 8809654.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 470992 + ... + 471088.

Almost surely, 245690880 is an apocalyptic number.

45690880 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 45690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57795696).

45690880 is an abundant number, since it is smaller than the sum of its proper divisors (69900512).

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

45690880 is an equidigital number, since it uses as much as digits as its factorization.

45690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 45690880 is about 6759.5029403056. The cubic root of 45690880 is about 357.5003798063.

The spelling of 45690880 in words is "forty-five million, six hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 128 160 184 194 230 256 320 368 388 460 485 512 640 736 776 920 970 1024 1280 1472 1552 1840 1940 2048 2231 2560 2944 3104 3680 3880 4096 4462 5120 5888 6208 7360 7760 8924 10240 11155 11776 12416 14720 15520 17848 20480 22310 23552 24832 29440 31040 35696 44620 47104 49664 58880 62080 71392 89240 94208 99328 117760 124160 142784 178480 198656 235520 248320 285568 356960 397312 471040 496640 571136 713920 993280 1142272 1427840 1986560 2284544 2855680 4569088 5711360 9138176 11422720 22845440 45690880