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402499040 = 25519314271
BaseRepresentation
bin10111111111011…
…010010111100000
31001001101001212212
4113333122113200
51311014432130
6103534541252
712655120406
oct2777322740
91031331785
10402499040
11197222539
12b2967828
1365507c18
143b655476
1525508e95
hex17fda5e0

402499040 has 96 divisors (see below), whose sum is σ = 1033482240. Its totient is φ = 147571200.

The previous prime is 402499001. The next prime is 402499063. The reversal of 402499040 is 40994204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 402498988 and 402499006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92105 + ... + 96375.

It is an arithmetic number, because the mean of its divisors is an integer number (10765440).

Almost surely, 2402499040 is an apocalyptic number.

402499040 is a gapful number since it is divisible by the number (40) 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 402499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516741120).

402499040 is an abundant number, since it is smaller than the sum of its proper divisors (630983200).

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

402499040 is a wasteful number, since it uses less digits than its factorization.

402499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 402499040 is about 20062.3787223749. The cubic root of 402499040 is about 738.3375389642.

The spelling of 402499040 in words is "four hundred two million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1520 2356 2480 2945 3040 4271 4712 4960 5890 8542 9424 11780 17084 18848 21355 23560 34168 42710 47120 68336 81149 85420 94240 132401 136672 162298 170840 264802 324596 341680 405745 529604 649192 662005 683360 811490 1059208 1298384 1324010 1622980 2118416 2515619 2596768 2648020 3245960 4236832 5031238 5296040 6491920 10062476 10592080 12578095 12983840 20124952 21184160 25156190 40249904 50312380 80499808 100624760 201249520 402499040