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421252480 = 27511531129
BaseRepresentation
bin11001000110111…
…100110110000000
31002100122211202201
4121012330312000
51330320034410
6105444522544
713303405225
oct3106746600
91070584681
10421252480
111a6871250
12b90b0454
1369372b2c
143dd3794c
1526eb083a
hex191bcd80

421252480 has 128 divisors (see below), whose sum is σ = 1120327200. Its totient is φ = 150159360.

The previous prime is 421252457. The next prime is 421252483. The reversal of 421252480 is 84252124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421252483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372556 + ... + 373684.

Almost surely, 2421252480 is an apocalyptic number.

421252480 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 421252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560163600).

421252480 is an abundant number, since it is smaller than the sum of its proper divisors (699074720).

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

421252480 is a wasteful number, since it uses less digits than its factorization.

421252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 421252480 is about 20524.4361676515. The cubic root of 421252480 is about 749.6309176600.

The spelling of 421252480 in words is "four hundred twenty-one million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 265 320 352 424 440 530 583 640 704 848 880 1060 1129 1166 1408 1696 1760 2120 2258 2332 2915 3392 3520 4240 4516 4664 5645 5830 6784 7040 8480 9032 9328 11290 11660 12419 16960 18064 18656 22580 23320 24838 33920 36128 37312 45160 46640 49676 59837 62095 72256 74624 90320 93280 99352 119674 124190 144512 180640 186560 198704 239348 248380 299185 361280 373120 397408 478696 496760 598370 658207 722560 794816 957392 993520 1196740 1316414 1589632 1914784 1987040 2393480 2632828 3291035 3829568 3974080 4786960 5265656 6582070 7659136 7948160 9573920 10531312 13164140 19147840 21062624 26328280 38295680 42125248 52656560 84250496 105313120 210626240 421252480