Search a number
-
+
425902080 = 214351733
BaseRepresentation
bin11001011000101…
…100000000000000
31002200102001211010
4121120230000000
51333012331310
6110132320520
713361052012
oct3130540000
91080361733
10425902080
111a945759a
12ba773140
136a310286
14407c81b2
15275cd320
hex1962c000

425902080 has 120 divisors (see below), whose sum is σ = 1363631472. Its totient is φ = 113508352.

The previous prime is 425902073. The next prime is 425902111. The reversal of 425902080 is 80209524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244894 + ... + 246626.

Almost surely, 2425902080 is an apocalyptic number.

425902080 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 425902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681815736).

425902080 is an abundant number, since it is smaller than the sum of its proper divisors (937729392).

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

425902080 is an equidigital number, since it uses as much as digits as its factorization.

425902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 425902080 is about 20637.3951844704. The cubic root of 425902080 is about 752.3788644721.

The spelling of 425902080 in words is "four hundred twenty-five million, nine hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1733 1920 2048 2560 3072 3466 3840 4096 5120 5199 6144 6932 7680 8192 8665 10240 10398 12288 13864 15360 16384 17330 20480 20796 24576 25995 27728 30720 34660 40960 41592 49152 51990 55456 61440 69320 81920 83184 103980 110912 122880 138640 166368 207960 221824 245760 277280 332736 415920 443648 554560 665472 831840 887296 1109120 1330944 1663680 1774592 2218240 2661888 3327360 3549184 4436480 5323776 6654720 7098368 8872960 10647552 13309440 14196736 17745920 21295104 26618880 28393472 35491840 42590208 53237760 70983680 85180416 106475520 141967360 212951040 425902080