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413255088 = 24333492741
BaseRepresentation
bin11000101000011…
…100010110110000
31001210121112102000
4120220130112300
51321243130323
6105001254000
713145416221
oct3050342660
91053545360
10413255088
111a22a9734
12b6494300
136780294c
143cc55248
1526430e43
hex18a1c5b0

413255088 has 80 divisors (see below), whose sum is σ = 1190028000. Its totient is φ = 137306880.

The previous prime is 413255081. The next prime is 413255093. The reversal of 413255088 is 880552314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413255081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149398 + ... + 152138.

It is an arithmetic number, because the mean of its divisors is an integer number (14875350).

Almost surely, 2413255088 is an apocalyptic number.

413255088 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 413255088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595014000).

413255088 is an abundant number, since it is smaller than the sum of its proper divisors (776772912).

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

413255088 is a wasteful number, since it uses less digits than its factorization.

413255088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 413255088 is about 20328.6764940564. The cubic root of 413255088 is about 744.8567134310.

The spelling of 413255088 in words is "four hundred thirteen million, two hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 432 698 1047 1396 2094 2741 2792 3141 4188 5482 5584 6282 8223 8376 9423 10964 12564 16446 16752 18846 21928 24669 25128 32892 37692 43856 49338 50256 65784 74007 75384 98676 131568 148014 150768 197352 296028 394704 592056 956609 1184112 1913218 2869827 3826436 5739654 7652872 8609481 11479308 15305744 17218962 22958616 25828443 34437924 45917232 51656886 68875848 103313772 137751696 206627544 413255088