Search a number
-
+
39220480 = 285132357
BaseRepresentation
bin1001010110011…
…1010100000000
32201210121101101
42111213110000
540020023410
63520344144
7654240265
oct225472400
981717341
1039220480
1120158a22
1211175054
138182ab0
1452cd26c
15369ad3a
hex2567500

39220480 has 72 divisors (see below), whose sum is σ = 101214792. Its totient is φ = 14475264.

The previous prime is 39220463. The next prime is 39220523. The reversal of 39220480 is 8402293.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 39137536 = 288^2 + 6256^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 15462 + ... + 17818.

It is an arithmetic number, because the mean of its divisors is an integer number (1405761).

Almost surely, 239220480 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 39220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50607396).

39220480 is an abundant number, since it is smaller than the sum of its proper divisors (61994312).

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

39220480 is a wasteful number, since it uses less digits than its factorization.

39220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 39220480 is about 6262.6256474421. The cubic root of 39220480 is about 339.7589987623.

The spelling of 39220480 in words is "thirty-nine million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 2357 3328 4160 4714 8320 9428 11785 16640 18856 23570 30641 37712 47140 61282 75424 94280 122564 150848 153205 188560 245128 301696 306410 377120 490256 603392 612820 754240 980512 1225640 1508480 1961024 2451280 3016960 3922048 4902560 7844096 9805120 19610240 39220480