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4732045728 = 253472234703
BaseRepresentation
bin1000110100000110…
…10100100110100000
3110012210011211101220
410122003110212200
534142400430403
62101320055040
7225156503454
oct43203244640
913183154356
104732045728
112009130aa3
12b00904480
135a54a0c77
1432c670664
151ca677953
hex11a0d49a0

4732045728 has 96 divisors (see below), whose sum is σ = 12745506816. Its totient is φ = 1536538368.

The previous prime is 4732045723. The next prime is 4732045729. The reversal of 4732045728 is 8275402374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4732045728.

It is not an unprimeable number, because it can be changed into a prime (4732045723) 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, 1003825 + ... + 1008527.

It is an arithmetic number, because the mean of its divisors is an integer number (132765696).

Almost surely, 24732045728 is an apocalyptic number.

4732045728 is a gapful number since it is divisible by the number (48) 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 4732045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372753408).

4732045728 is an abundant number, since it is smaller than the sum of its proper divisors (8013461088).

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

4732045728 is a wasteful number, since it uses less digits than its factorization.

4732045728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 4732045728 is about 68789.8664630191. The cubic root of 4732045728 is about 1678.8670706335.

The spelling of 4732045728 in words is "four billion, seven hundred thirty-two million, forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 223 282 376 446 564 669 752 892 1128 1338 1504 1784 2256 2676 3568 4512 4703 5352 7136 9406 10481 10704 14109 18812 20962 21408 28218 31443 37624 41924 56436 62886 75248 83848 112872 125772 150496 167696 221041 225744 251544 335392 442082 451488 503088 663123 884164 1006176 1048769 1326246 1768328 2097538 2652492 3146307 3536656 4195076 5304984 6292614 7073312 8390152 10609968 12585228 16780304 21219936 25170456 33560608 49292143 50340912 98584286 100681824 147876429 197168572 295752858 394337144 591505716 788674288 1183011432 1577348576 2366022864 4732045728