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1242762752 = 29711291087
BaseRepresentation
bin100101000010011…
…0000111000000000
310012121110220000002
41022010300320000
510021121402002
6323152415132
742540211010
oct11204607000
93177426002
101242762752
11588564060
122a82474a8
1316a61769a
14bb0a1c40
1574186002
hex4a130e00

1242762752 has 160 divisors (see below), whose sum is σ = 3205509120. Its totient is φ = 467066880.

The previous prime is 1242762733. The next prime is 1242762769. The reversal of 1242762752 is 2572672421.

It is a happy number.

It is a super-2 number, since 2×12427627522 = 3088918515517227008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 1142753 + ... + 1143839.

It is an arithmetic number, because the mean of its divisors is an integer number (20034432).

Almost surely, 21242762752 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 1242762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602754560).

1242762752 is an abundant number, since it is smaller than the sum of its proper divisors (1962746368).

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

1242762752 is a wasteful number, since it uses less digits than its factorization.

1242762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its digits is 94080, while the sum is 38.

The square root of 1242762752 is about 35252.8403394677. The cubic root of 1242762752 is about 1075.1343627260.

The spelling of 1242762752 in words is "one billion, two hundred forty-two million, seven hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 256 308 319 352 406 448 464 512 616 638 704 812 896 928 1087 1232 1276 1408 1624 1792 1856 2174 2233 2464 2552 2816 3248 3584 3712 4348 4466 4928 5104 5632 6496 7424 7609 8696 8932 9856 10208 11957 12992 14848 15218 17392 17864 19712 20416 23914 25984 30436 31523 34784 35728 39424 40832 47828 51968 60872 63046 69568 71456 81664 83699 95656 103936 121744 126092 139136 142912 163328 167398 191312 220661 243488 252184 278272 285824 334796 346753 382624 441322 486976 504368 556544 571648 669592 693506 765248 882644 973952 1008736 1143296 1339184 1387012 1530496 1765288 1947904 2017472 2427271 2678368 2774024 3060992 3530576 3895808 4034944 4854542 5356736 5548048 6121984 7061152 8069888 9709084 10713472 11096096 14122304 16139776 19418168 21426944 22192192 28244608 38836336 42853888 44384384 56489216 77672672 88768768 112978432 155345344 177537536 310690688 621381376 1242762752