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490401552 = 243193714533
BaseRepresentation
bin11101001110101…
…110111100010000
31021011202222110110
4131032232330100
52001020322202
6120355001320
715103226064
oct3516567420
91234688413
10490401552
11231900a43
12118299240
137a7a4244
14491b7aa4
152d0be26c
hex1d3aef10

490401552 has 80 divisors (see below), whose sum is σ = 1369684160. Its totient is φ = 150667776.

The previous prime is 490401551. The next prime is 490401553. The reversal of 490401552 is 255104094.

It is an interprime number because it is at equal distance from previous prime (490401551) and next prime (490401553).

It is not an unprimeable number, because it can be changed into a prime (490401551) 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, 26478 + ... + 41010.

It is an arithmetic number, because the mean of its divisors is an integer number (17121052).

Almost surely, 2490401552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490401552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684842080).

490401552 is an abundant number, since it is smaller than the sum of its proper divisors (879282608).

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

490401552 is a wasteful number, since it uses less digits than its factorization.

490401552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14600 (or 14594 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 490401552 is about 22145.0118988453. The cubic root of 490401552 is about 788.5888132663.

The spelling of 490401552 in words is "four hundred ninety million, four hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 8436 11248 14533 16872 29066 33744 43599 58132 87198 116264 174396 232528 276127 348792 537721 552254 697584 828381 1075442 1104508 1613163 1656762 2150884 2209016 3226326 3313524 4301768 4418032 6452652 6627048 8603536 10216699 12905304 13254096 20433398 25810608 30650097 40866796 61300194 81733592 122600388 163467184 245200776 490401552