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45274840 = 23513831049
BaseRepresentation
bin1010110010110…
…1011011011000
310011012012101221
42230231123120
543042243330
64254221424
71056554422
oct254553330
9104165357
1045274840
1123613726
12131b4874
1394c2760
146027812
153e94b7a
hex2b2d6d8

45274840 has 64 divisors (see below), whose sum is σ = 111132000. Its totient is φ = 16499712.

The previous prime is 45274837. The next prime is 45274861. The reversal of 45274840 is 4847254.

It is a happy number.

It is a super-2 number, since 2×452748402 = 4099622274051200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45274796 and 45274805.

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, 42636 + ... + 43684.

Almost surely, 245274840 is an apocalyptic number.

45274840 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 45274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55566000).

45274840 is an abundant number, since it is smaller than the sum of its proper divisors (65857160).

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

45274840 is a wasteful number, since it uses less digits than its factorization.

45274840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 45274840 is about 6728.6581128781. The cubic root of 45274840 is about 356.4119919900.

The spelling of 45274840 in words is "forty-five million, two hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 260 332 415 520 664 830 1049 1079 1660 2098 2158 3320 4196 4316 5245 5395 8392 8632 10490 10790 13637 20980 21580 27274 41960 43160 54548 68185 87067 109096 136370 174134 272740 348268 435335 545480 696536 870670 1131871 1741340 2263742 3482680 4527484 5659355 9054968 11318710 22637420 45274840