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4242007392 = 253723274457
BaseRepresentation
bin1111110011010111…
…1110010101100000
3101221122002022011220
43330311332111200
532141423214032
61540532535040
7210056316330
oct37465762540
911848068156
104242007392
111887558a37
129a4781480
13527ac615c
142c354d0c0
1519c62b12c
hexfcd7e560

4242007392 has 96 divisors (see below), whose sum is σ = 13279375872. Its totient is φ = 1159302144.

The previous prime is 4242007351. The next prime is 4242007411. The reversal of 4242007392 is 2937002424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121773 + ... + 152684.

It is an arithmetic number, because the mean of its divisors is an integer number (138326832).

Almost surely, 24242007392 is an apocalyptic number.

4242007392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4242007392 is an abundant number, since it is smaller than the sum of its proper divisors (9037368480).

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

4242007392 is a wasteful number, since it uses less digits than its factorization.

4242007392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274500 (or 274492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4242007392 is about 65130.6946991969. The cubic root of 4242007392 is about 1618.7898537476.

The spelling of 4242007392 in words is "four billion, two hundred forty-two million, seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 274457 548914 823371 1097828 1646742 1921199 2195656 3293484 3842398 4391312 5763597 6312511 6586968 7684796 8782624 11527194 12625022 13173936 15369592 18937533 23054388 25250044 26347872 30739184 37875066 44187577 46108776 50500088 61478368 75750132 88375154 92217552 101000176 132562731 151500264 176750308 184435104 202000352 265125462 303000528 353500616 530250924 606001056 707001232 1060501848 1414002464 2121003696 4242007392