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990742428 = 223413298111
BaseRepresentation
bin111011000011011…
…000011110011100
32120001020221010000
4323003120132130
54012112224203
6242151014300
733360112614
oct7303303634
92501227100
10990742428
114692804a5
1223796a390
1312a348530
149581ba44
155bea34a3
hex3b0d879c

990742428 has 120 divisors (see below), whose sum is σ = 2885762880. Its totient is φ = 294295680.

The previous prime is 990742427. The next prime is 990742429. The reversal of 990742428 is 824247099.

It is an interprime number because it is at equal distance from previous prime (990742427) and next prime (990742429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990742427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118093 + ... + 126203.

It is an arithmetic number, because the mean of its divisors is an integer number (24048024).

Almost surely, 2990742428 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 990742428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442881440).

990742428 is an abundant number, since it is smaller than the sum of its proper divisors (1895020452).

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

990742428 is a wasteful number, since it uses less digits than its factorization.

990742428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 990742428 is about 31476.0611894182. The cubic root of 990742428 is about 996.9045708717.

The spelling of 990742428 in words is "nine hundred ninety million, seven hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1404 1508 1566 2106 2262 2349 3132 3393 4212 4524 4698 6786 8111 9396 10179 13572 16222 20358 24333 30537 32444 40716 48666 61074 72999 97332 105443 122148 145998 210886 218997 235219 291996 316329 421772 437994 470438 632658 656991 705657 875988 940876 948987 1265316 1313982 1411314 1897974 2116971 2627964 2822628 2846961 3057847 3795948 4233942 5693922 6115694 6350913 8467884 8540883 9173541 11387844 12231388 12701826 17081766 18347082 19052739 25403652 27520623 34163532 36694164 38105478 55041246 76210956 82561869 110082492 165123738 247685607 330247476 495371214 990742428