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1402993488 = 2431383103263
BaseRepresentation
bin101001110011111…
…1111101101010000
310121202222110020210
41103213333231100
510333131242423
6351115004120
746524151011
oct12347775520
93552873223
101402993488
1165aa53856
12331a39640
13194889180
14d4491008
1583286b93
hex539ffb50

1402993488 has 160 divisors (see below), whose sum is σ = 4003743744. Its totient is φ = 420742656.

The previous prime is 1402993483. The next prime is 1402993489. The reversal of 1402993488 is 8843992041.

It is a super-2 number, since 2×14029934882 = 3936781454740812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402993483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334445 + ... + 5334707.

Almost surely, 21402993488 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 1402993488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1402993488 is an abundant number, since it is smaller than the sum of its proper divisors (2600750256).

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

1402993488 is a wasteful number, since it uses less digits than its factorization.

1402993488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1402993488 is about 37456.5546733813. The cubic root of 1402993488 is about 1119.4857035005.

The spelling of 1402993488 in words is "one billion, four hundred two million, nine hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 103 104 156 166 206 208 249 263 309 312 332 412 498 526 618 624 664 789 824 996 1052 1079 1236 1328 1339 1578 1648 1992 2104 2158 2472 2678 3156 3237 3419 3984 4017 4208 4316 4944 5356 6312 6474 6838 8034 8549 8632 10257 10712 12624 12948 13676 16068 17098 17264 20514 21424 21829 25647 25896 27089 27352 32136 34196 41028 43658 51294 51792 54178 54704 64272 65487 68392 81267 82056 87316 102588 108356 111137 130974 136784 162534 164112 174632 205176 216712 222274 261948 283777 325068 333411 349264 352157 410352 433424 444548 523896 567554 650136 666822 704314 851331 889096 1047792 1056471 1135108 1300272 1333644 1408628 1702662 1778192 2112942 2248387 2270216 2667288 2817256 3405324 4225884 4496774 4540432 5334576 5634512 6745161 6810648 8451768 8993548 13490322 13621296 16903536 17987096 26980644 29229031 35974192 53961288 58458062 87687093 107922576 116916124 175374186 233832248 350748372 467664496 701496744 1402993488