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242441976 = 233719151503
BaseRepresentation
bin11100111001101…
…01111011111000
3121220012022212110
432130311323320
5444031120401
640020212320
76002502630
oct1634657370
9556168773
10242441976
11114941277
126923a0a0
133b2c74ba
14242ad6c0
151643e9d6
hexe735ef8

242441976 has 128 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 65059200.

The previous prime is 242441951. The next prime is 242441977. The reversal of 242441976 is 679144242.

It is a super-2 number, since 2×2424419762 = 117556223453569152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242441977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481741 + ... + 482243.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2242441976 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 242441976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

242441976 is an abundant number, since it is smaller than the sum of its proper divisors (492994824).

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

242441976 is a wasteful number, since it uses less digits than its factorization.

242441976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 242441976 is about 15570.5483525790. The cubic root of 242441976 is about 623.5471113872.

The spelling of 242441976 in words is "two hundred forty-two million, four hundred forty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 151 152 168 228 266 302 399 453 456 503 532 604 798 906 1006 1057 1064 1208 1509 1596 1812 2012 2114 2869 3018 3171 3192 3521 3624 4024 4228 5738 6036 6342 7042 8456 8607 9557 10563 11476 12072 12684 14084 17214 19114 20083 21126 22952 25368 28168 28671 34428 38228 40166 42252 57342 60249 66899 68856 75953 76456 80332 84504 114684 120498 133798 151906 160664 200697 227859 229368 240996 267596 303812 401394 455718 481992 531671 535192 607624 802788 911436 1063342 1443107 1595013 1605576 1822872 2126684 2886214 3190026 4253368 4329321 5772428 6380052 8658642 10101749 11544856 12760104 17317284 20203498 30305247 34634568 40406996 60610494 80813992 121220988 242441976