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1293902428 = 2272133116381
BaseRepresentation
bin100110100011111…
…0110001001011100
310100011201001110011
41031013312021130
510122214334203
6332220453004
744030663200
oct11507661134
93304631404
101293902428
11604413055
123013aa164
131780b1750
14c3bb4b00
15788d876d
hex4d1f625c

1293902428 has 72 divisors (see below), whose sum is σ = 2928315264. Its totient is φ = 495331200.

The previous prime is 1293902417. The next prime is 1293902431. The reversal of 1293902428 is 8242093921.

It is a congruent number.

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, 70798 + ... + 87178.

Almost surely, 21293902428 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 1293902428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464157632).

1293902428 is an abundant number, since it is smaller than the sum of its proper divisors (1634412836).

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

1293902428 is a wasteful number, since it uses less digits than its factorization.

1293902428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16443 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1293902428 is about 35970.8552581114. The cubic root of 1293902428 is about 1089.6838372657.

The spelling of 1293902428 in words is "one billion, two hundred ninety-three million, nine hundred two thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 364 403 434 637 806 868 1274 1519 1612 2548 2821 3038 5642 6076 11284 16381 19747 32762 39494 65524 78988 114667 212953 229334 425906 458668 507811 802669 851812 1015622 1490671 1605338 2031244 2981342 3210676 3554677 5962684 6601543 7109354 10434697 13203086 14218708 20869394 24882739 26406172 41738788 46210801 49765478 92421602 99530956 184843204 323475607 646951214 1293902428