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4900040496 = 2432137333571
BaseRepresentation
bin1001001000001000…
…01010111100110000
3110122111021211220100
410210010022330300
540013402243441
62130120512400
7232266441231
oct44404127460
913574254810
104900040496
112094a43a4a
12b4901b700
13601230660
14346ac1088
151da2adcb6
hex12410af30

4900040496 has 120 divisors (see below), whose sum is σ = 14792466416. Its totient is φ = 1505226240.

The previous prime is 4900040479. The next prime is 4900040557. The reversal of 4900040496 is 6940400094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4900040496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370391 + ... + 1373961.

Almost surely, 24900040496 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 4900040496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396233208).

4900040496 is an abundant number, since it is smaller than the sum of its proper divisors (9892425920).

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

4900040496 is a wasteful number, since it uses less digits than its factorization.

4900040496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4900040496 is about 70000.2892565452. The cubic root of 4900040496 is about 1698.5039313055.

The spelling of 4900040496 in words is "four billion, nine hundred million, forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 733 936 1466 1872 2199 2932 3571 4398 5864 6597 7142 8796 9529 10713 11728 13194 14284 17592 19058 21426 26388 28568 28587 32139 35184 38116 42852 46423 52776 57136 57174 64278 76232 85704 85761 92846 105552 114348 128556 139269 152464 171408 171522 185692 228696 257112 278538 343044 371384 417807 457392 514224 557076 686088 742768 835614 1114152 1372176 1671228 2228304 2617543 3342456 5235086 6684912 7852629 10470172 15705258 20940344 23557887 31410516 34028059 41880688 47115774 62821032 68056118 94231548 102084177 125642064 136112236 188463096 204168354 272224472 306252531 376926192 408336708 544448944 612505062 816673416 1225010124 1633346832 2450020248 4900040496