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490233920 = 2651131151
BaseRepresentation
bin11101001110000…
…110000001000000
31021011110110111212
4131032012001000
52000444441140
6120351225252
715101630261
oct3516060100
91234413455
10490233920
112317a7000
12118218228
137a745b57
1449172968
152d089765
hex1d386040

490233920 has 112 divisors (see below), whose sum is σ = 1285134336. Its totient is φ = 178112000.

The previous prime is 490233911. The next prime is 490233943. The reversal of 490233920 is 29332094.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 425345 + ... + 426495.

Almost surely, 2490233920 is an apocalyptic number.

490233920 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 490233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642567168).

490233920 is an abundant number, since it is smaller than the sum of its proper divisors (794900416).

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

490233920 is a wasteful number, since it uses less digits than its factorization.

490233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 490233920 is about 22141.2267049502. The cubic root of 490233920 is about 788.4989496402.

The spelling of 490233920 in words is "four hundred ninety million, two hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1151 1210 1331 1760 1936 2302 2420 2662 3520 3872 4604 4840 5324 5755 6655 7744 9208 9680 10648 11510 12661 13310 18416 19360 21296 23020 25322 26620 36832 38720 42592 46040 50644 53240 63305 73664 85184 92080 101288 106480 126610 139271 184160 202576 212960 253220 278542 368320 405152 425920 506440 557084 696355 810304 1012880 1114168 1392710 1531981 2025760 2228336 2785420 3063962 4051520 4456672 5570840 6127924 7659905 8913344 11141680 12255848 15319810 22283360 24511696 30639620 44566720 49023392 61279240 98046784 122558480 245116960 490233920